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2 years ago

A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?

Mathematics

1 answer:

masya89 [10]2 years ago

7 0

V = 4πr³/3
Substituting,
V = (4/3)π(3 cm)³
V = 36π cm³

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What is the output value of (4x+2)(x-5)/2 using input value of x=2

Firdavs [7]

Answer:

-15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

(4x + 2)(x - 5) / 2

x = 2

Step 2: Evaluate

Substitute: (4 · 2 + 2)(2 - 5) / 2
Parenthesis - Multiply: (8 + 2)(2 - 5) / 2
Parenthesis - Add: 10(2 - 5) / 2
Parenthesis - Subtract: 10(-3) / 2
Multiply: -30 / 2
Divide: -15

6 0

3 years ago

Read 2 more answers

Covert this into slope-intercept form : 13x - 11y = -12

ICE Princess25 [194]

Solve for y,

13x - 11 y = -12

13x + 12 = 11y

Answer: y = (13/11) x + (12/11)

5 0

3 years ago

Read 2 more answers

The distance dd is 11 mm. What is the perimeter of the figure? Round to the nearest tenth.

Kisachek [45]

Answer:

P = 157.1 mm

Step-by-step explanation:

The perimeter of the figure = Circumference of circle + perimeter of square

We have, d = 11

⇒ Radius = 11 mm

Side of square = 22 cm

So,

$P=2\pi \times 11+4\times 22\\\\P=157.11\ mm\\\\or\\\\P=157.1\ mm$

So, the perimeter of the figure is equal to 157.1 mm.

3 0

3 years ago

The moon has a radius of 1736 1736 kilometers. The earth has a radius of 6371 6371 kilometers. How many times as large is the vo

Vlad1618 [11]

Answer:

The volume of the Earth is 49 times as large as that of the moon

Step-by-step explanation:

Firstly, we consider that both entities are spherical in shape.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

The volume of the moon with radius 1736 kilometers will be ;

4/3 * pi * 1736^3 = (20,927,105,024 π)/3 km^3

The volume of the earth with radius 6371 kilometers will be;

4/3 * pi * 6371^3 =( 1,034,386,411,244 π)/3 km^3

Now to get the number of times the earth is as big as the moon, we simply divide the volume of the earth by that of the moon.

= ( 1,034,386,411,244 π)/3 divided by (20,927,105,024 π)/3

= 1,034,386,411,244/20,927,105,024 = 49.43 which is approximately 49 times

3 0

3 years ago

If 1 gallon of paint covers 300 square feet, how many gallons

frutty [35]

The answer should be 24

5 0

3 years ago